Turn and river is fine once you flopped the check. But why did you check the flop? Looks like an easy cbet to me everyday.

why is this an easy cbet? I think his linke is pretty standart and maxEV.
Board is pretty dry, we have a 2 street hand value which is unlikely to get drawn out. So check otf and than call down is by far the best line imo.

Hi Lux, there is a flush draw on the flop so we can charge draws over getting a free card, I also don't see any 8x or PP fold, we might even get calls from Ahxx some % of the time. If we check and the turn brings let's say a Qc, then not only do they fold their 8x and PP that would have called a cbet, they may also fold their draws as odds have been slashed some what.

By cbetting the flop, if we turn trips or two pair we can start pumping more money in and win a bigger pot.

if we turn two pair, but do you want get called from 3 streets except KQ? If we turn trips, we will have reverse implieds as well. One Flush Draw is a very small part of his entire range, so I dont see the reason to bet just for charging draws.

I'm on board with the flop cbet idea. I think ranges are wide here being BTN vs SB, we have no backdoor equity and we would be cbetting this board as a bluff a high % of the time.

I'd go bet,bet and check back the river.

I like your line overall. We have a hand that is not realistically going to be able to get three streets of value and there is a very high chance that our opponent has completely missed and is drawing close to dead. By checking back here on the flop we allow him to catch up to a second best hand, as well as induce bluffs on the the turn too. I definitely wouldn't mind betting here but I do like checking back some of the strong parts of my range like this as well.

One point here is that on the turn we can consider raising small now to extract some value from Qx/flush draws that opponent may have picked up but I'm not sure if I like this line or now, it's an option though for sure.

No need to do anything fancy here at 2NL. It's good at higher stakes to have some top pair type hands protecting your checking range, but as we have position I would just prefer to bet flop and turn for value intending to check behind on the river. Without a solid read you're not generally looking for three streets of value. This also has the advantage of keeping control of the hand allowing us to choose the bet size.